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Finding the Fourth Proportional to 827.15, 1,241.33 and 592.92

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Solution

The fourth proportional to 827.15, 1,241.33 and 592.92 is: 889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.15 : 1,241.33 = 592.92 : x
  2. Step 2: Convert to fraction form
    827.15/1,241.33 = 592.92/x
  3. Step 3: Cross multiply
    827.15x = 1,241.33 × 592.92
  4. Step 4: Simplify right side
    827.15x = 736,006.42
  5. Step 5: Solve for x
    x = 736,006.42/827.15
  6. Step 6: Final answer
    x = 889.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.